What Schrodinger Equation Describes

musashi1029
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Hello.

I have a conceptual question about Schrodinger Equation.
In the textbook, it says that "Schrodinger Equation contains all the dynamical information that can be known about the wave function", but what exactly is "all dynamical information about the wave function"?

Thanks in advance.
 
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musashi1029 said:
Hello.

I have a conceptual question about Schrodinger Equation.
In the textbook, it says that "Schrodinger Equation contains all the dynamical information that can be known about the wave function", but what exactly is "all dynamical information about the wave function"?

It contains all the values of the observables that you can measure, and how they evolve with time.

Zz.
 
musashi1029 said:
In the textbook, it says that "Schrodinger Equation contains all the dynamical information that can be known about the wave function", but what exactly is "all dynamical information about the wave function"?
What that sentence means is just that the Schrödinger equation tells you everything there is to know about how the wave function changes with time. ("Dynamics" is about how things change with time).

You might find post #8 in this thread interesting too.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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